Simplify (7x+6)(7x-6)

$(7 x + 6) (7 x - 6)$

Step 1

Expand $(7 x + 6) (7 x - 6)$ using the FOIL Method.

Apply the distributive property.

$7 x (7 x - 6) + 6 (7 x - 6)$

Apply the distributive property.

$7 x (7 x) + 7 x \cdot - 6 + 6 (7 x - 6)$

Apply the distributive property.

$7 x (7 x) + 7 x \cdot - 6 + 6 (7 x) + 6 \cdot - 6$

Step 2

Simplify terms.

Combine the opposite terms in $7 x (7 x) + 7 x \cdot - 6 + 6 (7 x) + 6 \cdot - 6$ .

Reorder the factors in the terms $7 x \cdot - 6$ and $6 (7 x)$ .

$7 x (7 x) - 6 \cdot 7 x + 6 \cdot 7 x + 6 \cdot - 6$

Add $- 6 \cdot 7 x$ and $6 \cdot 7 x$ .

$7 x (7 x) + 0 + 6 \cdot - 6$

Add $7 x (7 x)$ and $0$ .

$7 x (7 x) + 6 \cdot - 6$

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 7 x \cdot x + 6 \cdot - 6$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$7 \cdot 7 (x \cdot x) + 6 \cdot - 6$

Multiply $x$ by $x$ .

$7 \cdot 7 x^{2} + 6 \cdot - 6$

Multiply $7$ by $7$ .

$49 x^{2} + 6 \cdot - 6$

Multiply $6$ by $- 6$ .

$49 x^{2} - 36$